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'Space-time' (ST) wave packets are propagation-invariant pulsed optical beams that travel rigidly in linear media without diffraction or dispersion at a potentially arbitrary group velocity. These unique characteristics are a result of…

Optics · Physics 2021-02-17 Layton A. Hall , Ayman F. Abouraddy

We describe a code designed for hot media {(T $\ge$} a few 10$^4$ K), optically thick to Compton scattering. It computes the structure of a plane-parallel slab of gas in thermal and ionization equilibrium, illuminated on one side or on both…

Astrophysics · Physics 2009-09-25 Anne-Marie Dumont , Suzy Collin

We derive analytical expressions to describe how light is frequency-shifted when interacting with ultrasound within scattering media, due to the modulation of the refractive index induced by the ultrasound pressure waves. The model is…

Optics · Physics 2024-10-16 Adam Kinos

We investigate temporal scattering in lossless Drude media and reveal an overlooked role of the zero-frequency flat band associated with static polarization charge. This flat band forms an exceptional line spanning all wavenumbers and can…

Optics · Physics 2025-11-03 Neng Wang , Shuyong Chen , Guo Ping Wang

We present a study of sound wave propagation in a time dependent random medium and an application to imaging. The medium is modeled by small temporal and spatial random fluctuations in the wave speed and density, and it moves due to an…

Analysis of PDEs · Mathematics 2018-06-19 Liliana Borcea , Josselin Garnier , Knut Solna

The recently proposed eight-component relativistic wave equation is applied to the scattering of a photon from a free electron (Compton scattering). It is found that in spite of the considerable difference in the structure of this equation…

High Energy Physics - Theory · Physics 2007-05-23 B. A. Robson , S. H. Sutanto

We consider theoretically light scattering by a resonant layer that periodically moves in real space. At small frequencies of motion the scattered light spectrum reveals the frequency shift that is governed by the Doppler effect. At higher…

Optics · Physics 2020-12-02 A. V. Poshakinskiy , A. N. Poddubny , N. A. Gippius

Transport processes underpin a multitude of phenomena, ranging from the propagation of atoms on lattices, to the mobility patterns of microorganisms and earthquakes, to name a few. The dynamics of these processes is very rich and key to…

We discuss a simple and experimentally available realization of fracton physics. We note that superfluid vortices form a Hamiltonian system that conserves total dipole moment and trace of the quadrupole moment of vorticity; thereby…

Strongly Correlated Electrons · Physics 2020-05-08 Darshil Doshi , Andrey Gromov

(abridged) Models of many astrophysical gamma-ray sources assume they contain a homogeneous distribution of electrons that are injected as a power-law in energy and evolve by interacting with radiation fields, magnetic fields and particles…

Astrophysics · Physics 2009-11-13 K. Manolakou , D. Horns , J. G. Kirk

This paper is devoted to the study of propagation dynamics for a large class of non-monotone evolution systems. In two directions of the spatial variable, such a system has two limiting systems admitting the spatial translation invariance.…

Dynamical Systems · Mathematics 2023-10-23 Taishan Yi , Xiao-Qiang Zhao

In a previous work the authors described a fast high-fidelity computer model for acoustic scattering from multi-layered elastic spheres. This work is now extended with a scaling strategy significantly mitigating the problem of overflow and…

Fluid Dynamics · Physics 2022-10-04 Jon Vegard Venås , Trond Jenserud

We study microlocally the transmission problem at the interface between an isotropic linear elastic solid and a linear inviscid fluid. We set up a system of evolution equations describing the particle displacement and velocity in the solid,…

Analysis of PDEs · Mathematics 2021-11-08 Nikolas Eptaminitakis , Plamen Stefanov

The time dependent synchrotron emission from relativistic jets, and the relation between the synchrotron and ERC emission is considered within the framework of the radiative front model. The timescale and profile of the optically thin…

Astrophysics · Physics 2009-10-31 Amir Levinson

Band formation in periodic media is a central topic in undergraduate solid-state physics, typically introduced through Bloch's theorem as an eigenvalue problem in reciprocal space for infinitely periodic systems. While mathematically…

Computational Physics · Physics 2026-04-07 Nishant Kashyap , Amit Tanwar , Vivek T. Ramamoorthy , Pragati Ashdhir

Harmonic generation in the scattered fields produced by a dielectric sphere coated with a time-varying conductive shell is studied using a Mie theory approach hybridized with conversion matrix methods. Analytic results are derived for plane…

Optics · Physics 2022-09-21 Kurt Schab , Bradley Shirley , K. C. Kerby-Patel

This paper models light scattering through flat surfaces with finite transmission, reflection and absorption rates, with wave packets approaching the mirror from both sides. While using the same notion of photons as in free space, our model…

Quantum Physics · Physics 2018-04-18 Nicholas Furtak-Wells , Lewis A. Clark , Robert Purdy , Almut Beige

The scattering of Dirac fermions in the background fields of topological solitons of the $(2+1)$-dimensional $\mathbb{CP}^{N-1}$ model is studied using analytical and numerical methods. It is shown that the exact solutions for fermionic…

High Energy Physics - Theory · Physics 2023-07-04 A. Yu. Loginov

We study the evolution of a passive scalar subject to molecular diffusion and advected by an incompressible velocity field on a 2D bounded domain. The velocity field is $u = \nabla^\perp H$, where H is an autonomous Hamiltonian whose level…

Analysis of PDEs · Mathematics 2024-07-10 Michele Dolce , Carl Johan Peter Johansson , Massimo Sorella

We observe that the reflection and transmission coefficients of a particle within a double, PT symmetric heterojunction with spatially varying mass, show interesting features, depending on the degree of non Hermiticity, although there is no…

Quantum Physics · Physics 2015-06-16 Anjana Sinha , R. Roychoudhury